English

On commuting Tonelli Hamiltonians: Time-periodic case

Dynamical Systems 2011-07-29 v3

Abstract

We show that the Aubry sets, the Ma\~{n}\'{e} sets and Mather's barrier functions are the same for two commuting time-periodic Tonelli Hamiltonians.

Cite

@article{arxiv.1001.1324,
  title  = {On commuting Tonelli Hamiltonians: Time-periodic case},
  author = {Xiaojun Cui},
  journal= {arXiv preprint arXiv:1001.1324},
  year   = {2011}
}

Comments

17 pages

R2 v1 2026-06-21T14:32:28.022Z